By A. E. H. LOVE
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Join Can-i to An, this determines the last side of the funicular. From the point where it meets the line of action of F^, draw a line and produce this to meet the vertical through a^-/ ^^ Join Vn-i to G3n-4 and proceed in the same way, and we obtain the funicular. The side (Sn — S) of the funicular will be to G^n-iy Vn-i' found by joining the points where (^n — 2) meets the vertical — through gn and where (3n 4) meets the vertical through g'n-i. This side must pass through An-i. The sides may be constructed in like manner.
BENDING OF RODS IN ONE PLANE. 48 If therefore makes with the the rod we have
The side (Sn — S) of the funicular will be to G^n-iy Vn-i' found by joining the points where (^n — 2) meets the vertical — through gn and where (3n 4) meets the vertical through g'n-i. This side must pass through An-i. The sides may be constructed in like manner. (3/1 — 6), (3n — 9)... The bending moments at the supports may also be found Let the vertical through Ar meet the side (3r + 1) graphically. in Sr, then Ar Sr/Ar A\+i is proportional to the bending moment We have seen that if Ar A'r be drawn to represent the at Ar.